Question
Answer
$$(2x-3)(4x^2+6x+9)=8x^3-27$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(2x-3)(4x^2+6x+9)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8x^3+12x^2+18x-12x^2-18x-27 \xlongequal{ } \\[1 em] & \xlongequal{ }8x^3+ \cancel{12x^2}+ \cancel{18x} -\cancel{12x^2} -\cancel{18x}-27 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}8x^3-27\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{2x-3}\right) $ by each term in $ \left( 4x^2+6x+9\right) $. $$ \left( \color{blue}{2x-3}\right) \cdot \left( 4x^2+6x+9\right) = \\ = 8x^3+ \cancel{12x^2}+ \cancel{18x} -\cancel{12x^2} -\cancel{18x}-27 $$ |
| ② | Combine like terms: $$ 8x^3+ \, \color{blue}{ \cancel{12x^2}} \,+ \, \color{green}{ \cancel{18x}} \, \, \color{blue}{ -\cancel{12x^2}} \, \, \color{green}{ -\cancel{18x}} \,-27 = 8x^3-27 $$ |
This page was created using
Simplify polynomials calculator